Least Common Multiple of 38/129, 381/424, 122/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/129, 381/424, 122/661 quickly i.e. 883158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/129, 381/424, 122/661 is 883158.

LCM(38/129, 381/424, 122/661) = 883158

LCM of 38/129, 381/424, 122/661

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 38/129,381/424,122/661

Given numbers are 38/129,381/424,122/661

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 38,381,122

Least Common Multiple of Numerators i.e. LCM of 38,381,122 is 883158.

GCF of Denominators means GCF of 129,424,661 as per the given fractions.

GCF of 129,424,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,381,122

LCM of Fractions 38/129,381/424,122/661 is 883158

2 38, 381, 122
19, 381, 61

∴ So the LCM of the given numbers is 2 x 19 x 381 x 61 = 883158

Least Common Multiple of 38,381,122 with GCF Formula

Least Common Multiple of 38,381,122 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 38,381,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,381,122) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,381,122) x common factors =1 x 2 = 2

LCM(38,381,122) = ( 38 × 381 × 122 ) / 2

LCM(38,381,122) = 1766316 / 2

LCM(38,381,122) = 883158


Lets's calculate GCF of 129,424,661

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 883158/1

Therefore the LCM of Fractions 38/129,381/424,122/661 is 883158

Greatest Common Factor of 129,424,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,424,661 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 129,424,661 . The biggest common factor number is the GCF number.
So the greatest common factor 129,424,661 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/129, 381/424, 122/661

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 38/129, 381/424, 122/661?

Answer: LCM of Numerators as per given numbers 38/129, 381/424, 122/661 is

LCM of Numerators i.e. for 38,381,122 is 883158

GCF of denominators i.e. for 129,424,661 is 1.

Thus, LCM of Fractions is 883158.Finally, LCM of Fractions for 38/129, 381/424, 122/661 is 883158.